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(.module:
[library
[lux #*
["_" test (#+ Test)]
["@" target]
["." ffi]
[abstract
[monad (#+ do)]
[\\specification
["$." equivalence]
["$." hash]
["$." order]
["$." monoid]
["$." codec]]]
[data
["." bit ("#\." equivalence)]]
[math
["." random (#+ Random)]]]]
[\\library
["." /
[// #*
["n" nat]
["i" int]
["r" rev]
["." i64]]]])
(def: random
(Random Frac)
(\ random.monad each (|>> (i.% +1,000,000) i.frac) random.int))
(def: constant
Test
(do random.monad
[sample random.safe_frac]
($_ _.and
(_.cover [/.biggest]
(/.<= /.biggest sample))
(_.cover [/.positive_infinity]
(/.< /.positive_infinity sample))
(_.cover [/.smallest]
(bit\= (/.positive? sample)
(/.>= /.smallest sample)))
(_.cover [/.negative_infinity]
(/.> /.negative_infinity sample))
(_.cover [/.not_a_number /.not_a_number?]
(and (/.not_a_number? /.not_a_number)
(not (or (/.= /.not_a_number sample)
(/.not_a_number? sample)))))
)))
(def: predicate
Test
(do {! random.monad}
[sample ..random
shift (\ ! each /.abs ..random)]
($_ _.and
(_.cover [/.negative?]
(bit\= (/.negative? sample)
(/.< +0.0 sample)))
(_.cover [/.positive?]
(bit\= (/.positive? sample)
(/.> +0.0 sample)))
(_.cover [/.zero?]
(bit\= (/.zero? sample)
(/.= +0.0 sample)))
(_.cover [/.approximately?]
(and (/.approximately? /.smallest sample sample)
(/.approximately? (/.+ +1.0 shift) sample (/.+ shift sample))))
(_.cover [/.number?]
(and (not (/.number? /.not_a_number))
(not (/.number? /.positive_infinity))
(not (/.number? /.negative_infinity))
(/.number? sample)))
)))
(def: conversion
Test
($_ _.and
(do {! random.monad}
[expected (\ ! each (n.% 1,000,000) random.nat)]
(_.cover [/.nat]
(|> expected n.frac /.nat (n.= expected))))
(do {! random.monad}
[expected (\ ! each (i.% +1,000,000) random.int)]
(_.cover [/.int]
(|> expected i.frac /.int (i.= expected))))
(do {! random.monad}
[expected (\ ! each (|>> (i64.left_shifted 52) .rev)
random.nat)]
(_.cover [/.rev]
(|> expected r.frac /.rev (r.= expected))))
))
(def: signature
Test
(`` ($_ _.and
(_.for [/.equivalence /.=]
($equivalence.spec /.equivalence random.safe_frac))
(_.for [/.hash]
($hash.spec /.hash random.frac))
(_.for [/.order /.<]
($order.spec /.order random.safe_frac))
(~~ (template [<composite> <monoid>]
[(_.for [<monoid> <composite>]
($monoid.spec /.equivalence <monoid> ..random))]
[/.+ /.addition]
[/.* /.multiplication]
[/.min /.minimum]
[/.max /.maximum]
))
(~~ (template [<codec>]
[(_.for [<codec>]
($codec.spec /.equivalence <codec> random.safe_frac))]
[/.binary] [/.octal] [/.decimal] [/.hex]
))
)))
(with_expansions [<jvm> (as_is (ffi.import: java/lang/Double
["#::."
("static" doubleToRawLongBits [double] long)
("static" longBitsToDouble [long] double)]))]
(for {@.old (as_is <jvm>)
@.jvm (as_is <jvm>)}
(as_is)))
(def: .public test
Test
(<| (_.covering /._)
(_.for [.Frac])
($_ _.and
(do random.monad
[left random.safe_frac
right random.safe_frac]
($_ _.and
(_.cover [/.>]
(bit\= (/.> left right)
(/.< right left)))
(_.cover [/.<= /.>=]
(bit\= (/.<= left right)
(/.>= right left)))
))
(do random.monad
[sample random.safe_frac]
($_ _.and
(_.cover [/.-]
(and (/.= +0.0 (/.- sample sample))
(/.= sample (/.- +0.0 sample))
(/.= (/.opposite sample)
(/.- sample +0.0))))
(_.cover [/./]
(and (/.= +1.0 (/./ sample sample))
(/.= sample (/./ +1.0 sample))))
(_.cover [/.abs]
(bit\= (/.> sample (/.abs sample))
(/.negative? sample)))
(_.cover [/.signum]
(/.= (/.abs sample)
(/.* (/.signum sample) sample)))
))
(do random.monad
[left (random.only (|>> (/.= +0.0) not)
..random)
right ..random]
($_ _.and
(_.cover [/.%]
(let [rem (/.% left right)
div (|> right (/.- rem) (/./ left))]
(/.= right
(|> div (/.* left) (/.+ rem)))))
(_.cover [/./%]
(let [[div rem] (/./% left right)]
(and (/.= div (/./ left right))
(/.= rem (/.% left right)))))
(_.cover [/.mod]
(or (and (/.= +0.0 (/.% left right))
(/.= +0.0 (/.mod left right)))
(and (/.= (/.signum left)
(/.signum (/.mod left right)))
(/.= (/.signum right)
(/.signum (/.% left right)))
(if (/.= (/.signum left) (/.signum right))
(/.= (/.% left right)
(/.mod left right))
(/.= (/.+ left (/.% left right))
(/.mod left right))))))
))
(with_expansions [<jvm> ($_ _.and
(let [test (: (-> Frac Bit)
(function (_ value)
(n.= (.nat (java/lang/Double::doubleToRawLongBits value))
(/.bits value))))]
(do random.monad
[sample random.frac]
(_.cover [/.bits]
(and (test sample)
(test /.biggest)
(test /.smallest)
(test /.not_a_number)
(test /.positive_infinity)
(test /.negative_infinity)))))
(do random.monad
[sample random.i64]
(_.cover [/.of_bits]
(let [expected (java/lang/Double::longBitsToDouble sample)
actual (/.of_bits sample)]
(or (/.= expected actual)
(and (/.not_a_number? expected)
(/.not_a_number? actual))))))
)]
(for {@.old <jvm>
@.jvm <jvm>}
(let [test (: (-> Frac Bit)
(function (_ expected)
(let [actual (|> expected /.bits /.of_bits)]
(or (/.= expected actual)
(and (/.not_a_number? expected)
(/.not_a_number? actual))))))]
(do random.monad
[sample random.frac]
(_.cover [/.bits /.of_bits]
(and (test sample)
(test /.biggest)
(test /.smallest)
(test /.not_a_number)
(test /.positive_infinity)
(test /.negative_infinity)))))))
(do random.monad
[expected random.safe_frac]
(_.cover [/.opposite]
(let [subtraction!
(/.= +0.0 (/.+ (/.opposite expected) expected))
inverse!
(|> expected /.opposite /.opposite (/.= expected))]
(and subtraction!
inverse!))))
..constant
..predicate
..conversion
..signature
)))
|
